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Non-Linear Elastic Deformations
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In this paper, the influence of non-linear elastic systems on a simple geometric model for elastic deformations is discussed, and the authors propose a planar and spatial euler introduction to nonlinear analysis.Abstract:
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Citations
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Constitutive modeling of isotropic hyperelastic materials in an exponential framework using a self-contained approach
M. R. Mansouri,H. Darijani +1 more
TL;DR: In this article, an exponential framework for strain energy density functions of elastomers and soft biological tissues is proposed, which is based on a self-contained approach that is different from a guesswork or combination viewpoint.
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Finite strain––isotropic hyperelasticity
TL;DR: In this paper, a strain energy density for isotropic hyperelastic materials is proposed, which is decomposed into a compressible and incompressible component, and the incompressibility component is the same as the generalized Mooney expression while the compressible component is shown to be a function of the volume invariant J only.
Journal ArticleDOI
A finite element-based constrained mixture implementation for arterial growth, remodeling, and adaptation: theory and numerical verification.
TL;DR: The present finite element model recovers the results of these simplified semi‐inverse analyses with good agreement for two special cases: uniform transmural changes in mass and differential growth and remodeling within a two‐layered cylindrical model of the human aorta.
Journal ArticleDOI
Numerical methods for porous metals with deformation-induced anisotropy
TL;DR: In this article, a constitutive model for porous metals subjected to general three-dimensional finite deformations is presented, taking into account the evolution of porosity and the development of anisotropy due to changes in the shape and the orientation of the voids during deformation.
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Nonlinear vibrations of a radially stretched circular hyperelastic membrane
TL;DR: In this article, a detailed analysis of the nonlinear vibration response of a pre-stretched hyperelastic membrane subjected to finite deformations and a time-varying lateral pressure is presented.
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